Discrete Geometry and Mathematical Morphology: 4th International Joint Conference, DGMM 2025, Groningen, The Netherlands, November 36, 2025, Proceedi [Paperback]

This book constitutes the refereed proceedings of the 4th International Joint Conference on Discrete Geometry and Mathematical Morphology, DGMM 2025, held in Groningen, The Netherlands, during November 3–6, 2025.

The 37 full papers included in this book were carefully reviewed and selected from 52 submissions. They were organized in topical sections as follows: Discrete Geometry – Models, Transforms, and Visualization; Computational Aspects of Discrete Structures and Tilings; Discrete and Combinatorial Topology; Hierarchical and Graph-Based Models, Analysis and Segmentation; Algorithms; Morphological Filters, PDEs and Multivariate Morphology; Mathematical Morphology and Digital Geometry for Applications.

.- Discrete Geometry – Models, Transforms, and Visualization
.- An Analytical Definition of Discrete Circles in the Triangular Grid.
.- Geometry of Gauss digitized convex shapes.
.- Exact visibility on digitized shapes and application to saliency-aware normal estimation.
.- Convex and concave decomposition of digitized shapes using plane probing and visibility.
.- First Results on Locally Turn-Bounded Surfaces in the 3D Euclidean Space.
.- Computational Aspects of Discrete Structures and Tilings
.- How to peel fully convex digital sets.
.- Exact polyominoes and non-decomposability.
.- Tilepaint and Aquarium Puzzles in Periodic Grids.
.- Conversion of a Digital Object into a Finite Set of Balls: Complexity.
.- Discrete and Combinatorial Topology
.- The Mid-sphere Cousin of the Medial Axis Transform.
.- Subfield-Based 3D Curve-Thinning on (18,12) Pictures of the FCC Grid.
.- Characterization of the computed homology and cohomology bases.